Question

the product of two consecutive positive odd integer is 195 find the number​

Answer 1

The numbers are 13 and 15.

Step-by-step explanation:

Let the two consecutive odd integers be, x and (x + 2).

It is provided that:

$x(x+2)=195$

Compute the value of x as follows:

$x(x+2)=195\\x^{2}+2x=195\\x^{2}+2x-195=0$

Factorize the expression as follows:

$x^{2}+2x-195=0\\x^{2}+15x-13x-195=0\\x(x+15)-13(x+15)=0\\(x+15)(x-13)=0$

If (x + 15) = 0, then the value of x is -15.

If (x - 13) = 0, then the value of x is 13.

The two numbers are positive.

So, x = 13 and (x + 2) = 15.

Thus, the numbers are 13 and 15.

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